Intelligent control with hierarchical stacked neural networks

ABSTRACT

An intelligent control system based on an explicit model of cognitive development (Table 1) performs high-level functions. It comprises up to O hierarchically stacked neural networks, N m , . . . , N m +(O−1), where m denotes the stage/order tasks performed in the first neural network, N m , and O denotes the highest stage/order tasks performed in the highest-level neural network. The type of processing actions performed in a network, N m , corresponds to the complexity for stage/order m. Thus N 1  performs tasks at the level corresponding to stage/order 1. N 5  processes information at the level corresponding to stage/order 5. Stacked neural networks begin and end at any stage/order, but information must be processed by each stage in ascending order sequence. Stages/orders cannot be skipped. Each neural network in a stack may use different architectures, interconnections, algorithms, and training methods, depending on the stage/order of the neural network and the type of intelligent control system implemented.

RELATED APPLICATIONS

The present application is a Continuation of U.S. patent applicationSer. No. 12/611,317, filed Nov. 3, 2009, issued Jul. 22, 2014 as U.S.Pat. No. 8,788,441, which is a Continuation of U.S. patent applicationSer. No. 11/612,268, filed Dec. 18, 2006, issued Nov. 3, 2009 as U.S.Pat. No. 7,613,663, which is a Continuation of U.S. patent applicationSer. No. 10/261,560, filed Sep. 30, 2002, issued Dec. 19, 2006 as U.S.Pat. No. 7,152,051, each of which is expressly incorporated herein byreference in its entirety.

BACKGROUND OF THE INVENTION

This invention relates to hierarchical stacked neural networks thatlearn through processing information and constructing new actions in amanner that simulates cognitive development in the human brain. Suchnetworks are used to build systems that learn and make complex decisionsin the same manner as the human brain. The present invention models theordered stages that the brain moves through during development thatallow it to perform increasingly complex actions at higher stages ofdevelopment. In this developmental process, actions performed at aparticular stage of development are created by ordering, combining, andtransforming the actions performed in the immediately preceding stage.As a result of this process, at each stage of development more complexactions can be performed than those performed at the immediatelypreceding stage.

Actions include all operations performed by a neural network that resultin a change of state of the system. Actions are combined to performtasks. More complex actions permit the performance of more complextasks.

Prior-art neural networks, in contrast to the present invention, are notmodeled on the cognitive development of the human brain. They employsimple models of both biological systems and the physiological structureof the brain to process information and perform tasks. When prior-art,architecturally distinct neural networks are linked together to formhierarchies, the complexity of the actions performed in consecutiveneural networks does not increase at higher levels in a hierarchy.Actions performed in lower level networks in the hierarchy are notsystematically ordered, combined, and transformed to create higher-stageactions in higher-level networks in the hierarchy in the manner that thehuman brain uses during learning and development. As a result, prior-artneural networks, whether or not hierarchical, cannot perform many of thecomplex tasks that humans perform easily.

Neural networks were developed initially to overcome the limitations ofexpert systems that solve problems and make decisions based onpredetermined decision sets and responses. These expert systems have nointelligence, that is, they lack the ability to learn, because they areable to solve only those problems that their creators have alreadysolved. Neural networks were created to overcome these limitations withmodels of neural systems that simulate the brain's capacity to learnnovel representations and to tolerate ambiguity, both symbolic andinformational.

Neural networks are based on simple models of how neural systemsfunction in the brain. The primary component of neural systems in thebrain are neurons. In the brain, each neuron is typically connectedelectrochemically to thousands of other neurons. A neuron is activatedwhen the electrochemical stimulation that it receives from surroundingneurons reaches a threshold value. The neuron then “fires”, sendingelectrochemical signals that either activate or inhibit surroundingneurons, which may in turn become activated and “fire.”

The simplest prior-art neural networks comprise a series of artificialneurons. Unidirectional signals pass between artificial neurons overpredetermined connections. Each neuron typically receives signals from anumber of other neurons. Each connection between one neuron and anotherhas a weight associated with it that represents the strength of thesending neuron's signal. An activation function associated with thereceiving neuron multiplies and sums the weights of the signals that itreceives from other neurons and computes whether the neuron will fire.When the neuron fires, it sends signals that either activate or inhibitother internal neurons or cause the network to output an externalresponse. Connection weights between neurons are adjusted by trainingalgorithms based on the neural network's production of successfuloutputs. These connection weights comprise the neural network'sknowledge or learning.

Prior-art neural networks improve task performance, informationprocessing, and decision making by expanding the core biological modelof neural function and brain structure. Approaches include, but are notlimited to, adding layers of neurons, increasing the interconnectionsbetween neurons, restructuring the relationships between groups ofneurons to more closely parallel brain structure, and developing moreefficient training and processing algorithms through more sophisticatedmathematical modeling. Because prior-art neural networks model onlyneural function and the physiological structure of the brain, they arelimited in their capacity to perform tasks, solve problems, andmanipulate complex information in the same manner as the human brain,which performs complex tasks by hierarchically combining and orderinglower-stage actions.

To increase the capacity of prior-art neural networks to solve problemsaccurately and to expand their abstract abilities, some prior-art neuralnetworks comprise more than one neural network. Architecturally distinctneural networks are linked to other networks hierarchically, inparallel, in tree structures, or in other configurations. Such linkedneural networks allow greater levels of abstraction and multiple viewsof problems. In prior-art neural networks that are linkedhierarchically, information moves up through the system of neuralnetworks, with output from each lower-level neural network cascading upto the level above it. The lower levels identify patterns based on theinput stimuli. These patterns are then fed to the higher levels, withinput noise reduced and with increasingly narrow representationsidentified, as output from one neural network moves to the next. In thismovement through the series of networks, a winnowing process takesplace, with information reduced as decisions are made concerning theidentity of the object or concept represented by a pattern. Thus, in theprocess of eliminating the noise in the input stimuli, the complexity,subtlety, and meaning of information are lost. Neural networks at higherlevels operate on less information than neural networks at lower levels,and their tasks become simpler rather than more complex. The result isthat complexity and context, which are critical for meaning, are lost.

This simplification is contrary to how the human brain operates athigher stages of development. At such higher stages, the brain'scapacity to process complex information and distinguish between finershades of meaning increases rather than decreases. The brain increasesits capacity during development by ordering, combining, and transforminglower-level actions to construct new actions that respond to a richerarray of stimuli and greater levels of meaning, with the result that thebrain can perform more complex tasks.

Prior-art neural networks modeled on core neural processes and brainstructure have made advances in artificial intelligence, such asrecognizing written letters and numbers, reading English text aloud,playing rule-based games such as chess, and determining whether sonarechoes have been reflected from undersea rocks or from mines. They havenot been able to simulate the human brain's capacity to assign higherlevels of meaning to speech and deduce complex interrelationshipsbetween objects, time sequences, and conceptual categories. In otherwords, prior-art neural networks cannot perform the higher-levelcognitive operations performed by the human brain. While neural systemsand brain structure provide a basis for neural networks to performlow-level cognitive functions, such a reductionist model limits thecapacity of prior-art neural networks to learn how to perform higherlevel actions, thereby making decisions based on meaning and nuancesbetween input stimuli. Therefore prior-art neural networks simulate thefunctioning of the human brain on only a simple neuronal level thatlacks the human brain's capacity to make the higher-level distinctionsand perform the higher-level tasks that humans perform with ease. Thusthere is a need for a system of hierarchical stacked neural networksthat can simulate the human brain more closely and for methods to employsuch a system to learn to perform tasks on its own.

OBJECTS AND SUMMARY OF THE INVENTION

It is an object of the present invention to provide hierarchical stackedneural networks that overcome the limitations of the neural networks ofthe prior art.

It is another object of the present invention to provide linked butarchitecturally distinct hierarchical stacked neural networks thatsimulate the brain's capacity to organize lower-order actionshierarchically by combining, ordering, and transforming the actions toproduce new, more complex higher-stage actions.

It is a further object of the present invention to provide hierarchicalstacked neural networks that are ordered in a non-arbitrary fashion sothat actions performed by neural networks at a higher level are theproduct of a concatenation of actions performed by lower-level networksin the hierarchy.

It is yet a further object that the actions performed by a neuralnetwork in the stacked hierarchy are a product of combining, ordering,and transforming actions performed by the neural network thatimmediately precedes it at a lower level in the stacked hierarchy.

It is still a further object of the present invention that neuralnetworks at higher levels in the hierarchy perform increasingly morecomplex actions and tasks than neural networks that precede them at alower level in the hierarchy.

The present invention provides an architecture of hierarchically linked,distinct neural networks stacked one on top of the other. Each neuralnetwork in the hierarchical stack uses the neuron-based methodology ofprior-art neural networks. The actions and tasks that each neuralnetwork performs and the order in which they perform those actions andtasks are based on human cognitive development.

While different models have been developed of the stages of cognitivedevelopment, all share the following common features. Cognitivedevelopment in human beings proceeds through a series of ordered stages.Actions and tasks performed at a particular stage are always morecomplex than the actions and tasks performed in the immediatelypreceding stage. The capacity to perform the actions at the higher stageresults from a learning process that combines, orders, and transformsthe actions at the immediately preceding stage. The creation ofhigher-stage actions from immediately preceding lower-stage actionsprovides the higher stage with the capacity to perform more complextasks. (R. Case (1987) “The structure and process of intellectualdevelopment” International Journal of Psychology 22(5 6), 571 607; M. L.Commons et al. (1998), “The existence of developmental stages as shownby the hierarchical complexity of tasks.” Developmental Review 8 (3),237 278; M. L. Commons & P. M. Miller (1998), “A quantitativebehavior-analytic theory of development” Mexican Journal of ExperimentalAnalysis of Behavior. 24 (2), 153 180; K. W. Fischer (1980) “A theory ofcognitive development: The control and construction of hierarchies ofskills” Psychological Review 87(6), 477 531.)

An example of this increasing complexity is shown by the complexmulti-dimensional actions that can be performed by solving problems withmatrix algebra rather than simpler one-dimensional algebraic equations.In matrix algebra the actions performed in one-dimensional algebra arecombined, reordered, and transformed in a manner similar to what occursduring human cognitive development. This development of a new conceptualstructure makes it possible for to perform with matrix algebra moresophisticated and complex mathematical operations than with simplealgebra.

Another example of how more complex actions are performed at a higherstage is illustrated by the early cognitive development of children. Atone of the earliest stages of human cognitive development, an objectonly exists for a child when it is present. At a later stage, the childis able to retain an abstract representation of the object when it isnot present. The actions that the child used to represent the objectwhen it was present have been combined, reordered, and transformed topermit the child to retain an internal representation of the object whenit is not present.

The number of neural networks in a hierarchical stack of the presentinvention is based on research on the cognitive organization of thebrain. This research shows that the number of stages or orders needed toaccomplish any given task depends directly on the order of hierarchicalcomplexity of the tasks to be performed. (See M. L. Commons, et al.,supra; M. L. Commons & P. M. Miller, supra. The research literature onhuman cognitive development uses term “stage” to denote a level ofdevelopment; the term “order”, to distinguish between levels and todenote the hierarchical sequence of networks.)

The number of networks in a hierarchical stacked neural network of thepresent invention is determined through an analysis of the tasks to beperformed. The number always equals the highest order of hierarchicalcomplexity of any task performed. Thus, if a neural network of thepresent invention is to perform the more advanced functions of a humanbrain, such as driving a car, the number is determined by the order ofthe most complex task needed to accomplish this behavior.

This number of networks is unlimited. Indeed, a hierarchical stackedneural network of the present invention may surpass the capabilities ofthe human brain. Humans can (in maximal, rare cases) process taskdemands of up to fourteen stages/orders of hierarchical complexity. (M.L. Commons & F. A. Richards, “Four postformal stages”, in J. Demick(Ed.), Handbook of adult development (New York, Plenum, 2002)). Roboticand decision-making systems running hierarchical stacked neural networksof the present invention, however, are not limited to 14 stages/orders.Thus, for example, a system designed to diagnose diseases could considerall known factors affecting a disease at once and not be limited, ashuman physicians are, to consider problems only within theirspecialties. Moreover, a robotic system that drives a car could samplefar more control parameters and domains of environmental stimuli andthus make safer, more accurate driving decisions than could a human.

The actions performed in the first neural network in a hierarchicalstacked neural network of the present invention are the loweststage/order actions in the sequence of actions to be performed. Theactions performed in each successively higher-level neural network inthe hierarchical stack are a product of combining, ordering, andtransforming the actions in the immediately preceding neural network inthe hierarchical stack. This combining, ordering, and transforming makesit possible for each successive neural network in the hierarchical stackto perform more complex tasks and solve more difficult problems than theneural network in the immediately preceding stage/order. As a result,higher-level neural networks in the hierarchical stack of the presentinvention begin to more closely simulate the human brain's capacity tointerrelate complex input stimuli and create meaning, and, as aconsequence, respond appropriately to an ever-widening band ofenvironmental and internal stimuli.

In the present invention, higher-level neural networks communicate withlower level neural networks in the hierarchical stacked neural network.The higher-level neural networks provide feedback to the lower-levelneural networks to adjust connection weights, thereby improving theaccuracy of the actions performed at the lower levels. The higher-levelneural networks can also request that additional information be fed tothe lowest neural network in the stacked hierarchy.

For the hierarchical stacked neural network of the present invention toperform tasks such as driving a car, the network must learn lower-ordertasks before higher-order tasks. Training begins with the first neuralnetwork in the hierarchical stack and ends with the last neural networkin the stack. Output from each neural network provides the traininginput for the next higher neural network in the hierarchical stack. Aneural network can also be trained by transferring the contents of apreviously-trained neural network at the same stage/order ofhierarchical complexity. This transfer requires reading the state ofevery node of the trained network and setting the nodes in the newnetwork to the same values. Thus the learning gained by a neural networkat a particular stage/order can reduce the learning curve for neuralnetworks in a hierarchical stacked neural network.

Briefly stated, the present invention provides an intelligent controlsystem that performs high-level human functions, such as monitoringcomplex human activity and responding to simple language. It comprisesup to O stacked neural networks, N_(m), . . . , N_(m)+(O−1), where mdenotes the stage/order tasks that are performed in the first neuralnetwork, N_(m), in the hierarchical stack, and O denotes the higheststage/order tasks that are performed in the highest-level neural networkin the hierarchical stack. The type of processing actions that areperformed in a network, N_(m), corresponds to the order of taskcomplexity for stage/order m. Thus N₁ performs tasks at the level ofcomplexity corresponding to stage/order 1. N₅ processes information atthe level of complexity corresponding to stage/order 5. Stacked neuralnetworks in intelligent control systems can begin at any stage/order andend at any stage/order, but information must be processed by each stagein sequence of ascending order. Stages/orders cannot be skipped. Forexample, if a stacked neural network begins at N₃ and ends at N₆,information would first be processed by N₃ and then output to N₄. N₄would then process the information and output it to N₅. N₅ would processthe information and output it to N₆, which would produce the finaloutput of the stacked neural network. Each neural network in a stack mayuse different architectures, interconnections, algorithms, and trainingmethods, depending on the stage/order of the neural network and the typeof intelligent control system implemented.

According to an embodiment of the invention, a stacked neural networkcomprises a plurality of architecturally distinct, ordered neuralnetworks; the plurality being organized in a hierarchy from lower tohigher order/stages in a model of cognitive development; each member ofthe plurality feeding signals forward and back to other members of theplurality; the signals being defined in terms of actions available tothe each member, whereby the each member transforms actions from atleast one member at a lower order/stage, thereby producing nonarbitraryorganizations of the actions from the at least one member at a lowerorder/stage effective for completing new tasks of increased complexity;the nonarbitrary organizations being fed to at least one member at ahigher order/stage; and the nonarbitrary organizations being modifiableby feedback signals from members at the higher order/stages.

According to a feature of the invention, a method for intelligentcontrol of a system comprises the steps of: forming a plurality ofarchitecturally distinct, ordered neural networks; organizing theplurality in a hierarchy from lower to higher order/stages in a model ofcognitive development; defining signals from each member of theplurality in terms of actions available to the each member; feeding thesignals forward and backward to other members of the plurality, wherebynonarbitrary organizations of the actions from at least one member at alower order/stage are formed that carry out new tasks of increasedcomplexity; and having the capability of modifying the nonarbitraryorganizations by feedback signals from at least one member at a higherorder/stage.

According to another feature of the invention, a computer-readablestorage medium embodies program instructions for a method forintelligent control, the method comprising the steps of: forming aplurality of architecturally distinct, ordered neural networks;organizing the plurality in a hierarchy from lower to higherorder/stages in a model of cognitive development; defining signals fromeach member of the plurality in terms of actions available to the eachmember; feeding the signals forward and backward to other members of theplurality, whereby nonarbitrary organizations of the actions from atleast one member at a lower order/stage are formed that carry out newtasks of increased complexity; and having the capability of modifyingthe nonarbitrary organizations by feedback signals from at least onemember at a higher order/stage.

The above, and other objects, features, and advantages of the presentinvention will become apparent from the following description read inconjunction with the accompanying drawings, in which like referencenumerals designate the same elements.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 is a block diagram of the stacked neural network of the presentinvention.

FIG. 2 is a block diagram of an embodiment of the stacked neural networkof the present invention comprising three architecturally distinct,ordered neural networks.

FIG. 3 is a block diagram of an embodiment of the stacked neural networkof the present invention comprising five architecturally distinct,ordered neural networks.

FIG. 4 is a flow chart for a first detailed embodiment of the presentinvention, an intelligent control system to detect shop lifting, whichcontains five major processing steps.

FIG. 5 is a flow chart for a second detailed embodiment of the presentinvention, an intelligent control system that directs customer calls tothe correct department in a large organization.

DESCRIPTION OF THE PREFERRED EMBODIMENT

Before constructing a hierarchical stacked neural network of the presentinvention, the builder must determine the order of hierarchicalcomplexity of the tasks that the hierarchical stacked neural networkwill perform. The highest order of hierarchical complexity found fromthis determination dictates the number of neural networks that thehierarchical stacked neural network requires. In making thisdetermination, the order of hierarchical complexity is measured by thenumber of recursions that the coordinating actions must perform on a setof primary elements. Actions at a higher order of hierarchicalcomplexity: 1) are defined in terms of the lower-order actions; 2)organize and transform the lower-order actions; 3) produce nonarbitraryorganizations of these lower-order actions that solve new, more complextasks.

The following equation determines the order of hierarchical complexityof a task, i.e., the number of concatenation operations it contains. Ina concatenation, a coordinating action is performed on two or more ofthe immediately preceding necessary lower-order actions. The products ofthis coordinating action then become the lower-order elements of thenext higher-order coordinating action. The next higher-ordercoordinating action is performed again on the new, more hierarchicallycomplex elements generated from the previous order. From thiscoordinating action one derives the products of the new, higher-orderperformance of the action, which become prerequisite elements of anaction of a still higher order, and that higher-order action isperformed again.

The order, O, of hierarchical complexity of task T is denoted O(T), anddefined as follows: (a) For a simple task E₁ at the lowest order in thehierarchical complexity, O(E₁)=1. (b) Otherwise, O(E)=O(E′)+1, whereO(E′)=max(C(E₁, C(E₂, . . . C(E_(n)))), for all E₁−1, n in E. In otherwords, the order of the next higher-order task is one order ofhierarchical complexity more than the next lower-order task out of whichit is built. If task E is built out of tasks of different orders ofhierarchical complexity, then E′ has the maximum order of all of thetasks within it. Consider the example of distributivity,3*(9+2)=(3*9)+(3*2)=27+6=33, where the numbers come from countingobjects. The maximum order of the subtasks would be based on the“adding” and “multiplying” actions (order 7), not the “counting” actions(order 6) (See Table 1 below).

The hierarchical complexity of any task in a task sequence may bedetermined through such task analysis. The hierarchical complexity of atask therefore refers to the number of concatenation operations itcontains. An order-three task has three concatenation operations. A taskof order three operates on the output of a task of order two, and a taskof order two operates on the output of a task of order one (i.e., asimple task).

Table 1 provides an example of 14 stages/orders of hierarchicalcomplexity identified for human beings through research on humandevelopment. It uses in part mathematical operations to illustrate howtasks at a higher stage/order build on tasks at lower stages.Higher-order tasks are created from the preceding lower stage/ordertasks by concatenation of lower-order tasks. Other examples, with feweror more stages/orders of hierarchical complexity, are also available.

Referring to FIG. 1, a hierarchical stacked neural network 10 of thepresent invention comprises a plurality of up to O architecturallydistinct, ordered neural networks 20, 22, 24, 26, etc., of which onlyfour (N_(m), N_(m)+1, N_(m)+2, N_(m)+(O−1)) are shown. The number ofneural networks in hierarchical stacked neural network 10 is the numberof consecutive stages/orders needed to complete the task assigned. Asensory input 60 to stacked neural network 10 enters lowest stage/orderneural network 20. The output of each of neural networks 20, 22, 24, 26,etc., is the input for the next neural network in the stack. The higheststage/order neural network 26 in the hierarchical stack produces anoutput 62. Each of neural networks 20, 22, 24, 26, etc., except for thefirst in the hierarchical stack, neural network 20, can provide feedback30, 32, 34, 36, 38, 40 to a lower stage/order neural network 20, 22, 24,etc. This feedback adjusts weights in lower stage/order neural networks.Neural networks in the hierarchical stack 20, 22, 24, 26 . . . can senda request 50 for sensory input 60 to feed more information to neuralnetwork 20. A neural network can send this request when its input doesnot provide enough information for it to determine an output.

Within a neural network in the hierarchical stack, tasks may be combinedin ways that do not produce a change in stage/order. For example,iterations may repeat lower stage/order tasks, e.g., repeatedly adding asequence of numbers. A mixture may include combining simple addition andmultiplication. A chain may include arbitrarily linkinglower-stage/order tasks that are not conceptually related. In the caseof a change in stage/order, a transformation of lower-stage/orderoperations may use a new construct to combine lower-order tasks thatincorporate tasks at a lower stage/order but create a new way ofstructuring the set of relationships. One example is using matrixalgebra so that lower-order operations, e.g., adding and multiplying,become part of the matrix algebra tasks within a multi-dimensionaldomain.

Referring to FIG. 2, in another embodiment of the present invention,stacked neural network 10 has three architecturally distinct orderedneural networks, 20, 22, and 24. Neural network 20 performs stage/order5 actions to process sensory input 60. The output from neural network 20is input to neural network 22, which processes the output from neuralnetwork 20 using stage/order 6 actions. The output from neural network22 is input into neural network 24 that processes the output from neuralnetwork 22 using stage/order 7 actions. In this embodiment, neuralnetwork 22 does not provide feedback to lower stage/order neural network20, and neural network 24 does not provide feedback to lower stage/orderneural networks 22 and 20. Neural networks 20, 22, 24 do not sendrequests 50 for additional sensory input 60 to neural network 20.

Referring to FIG. 3, in still another embodiment, stacked neural network10 contains five neural networks, 20, 22, 24, 26, and 28. Neural network20 processes sensory input 60 using stage/order 2 actions. The outputfrom neural network 20 is input into neural network 22, which processesthe output from neural network 20 using stage/order 3 actions. Theoutput from neural network 22 is input into neural network 24, whichprocesses the output from neural network 22 with stage/order 4 actions.The output from neural network 24 is input into neural network 26, whichprocesses the output from neural network 24 with stage/order 5 actions.The output from neural network 26 is input into neural network 28, whichprocesses the output from neural network 26 with stage/order 6 actions.Neural network 28 is the highest neural network in the hierarchicalstack and produces output 62.

In this embodiment, neural network 22 sends feedback 30 and neuralnetwork 28 sends feedback 40 to neural network 20, which uses them toadjust its weights. Neural network 26 can send a request 50 for sensoryinput 60 to feed more information to neural network 20 if it is unableto determine its output based on the output from neural network 24.

TABLE 1 A sequence of behaviors placed into different orders ofhierarchical complexity Name of Order of Order/ Hierarchical StageComplexity Example 0 Calculatory Simple Machine Arithmetic on 0's and1's 1 Sensory & Motor Seeing circles, squares, etc. or touching them. 2Circular Sensory- Reaching and grasping a circle or square. motor  *  * *  *  * □ □ □ □ □ ▪  ▪ ▪ ▪  ▪ ▪  /  ○  

  □ 3 Sensory-motor A class of filled in squares may be made 4 NominalThat class may be named, “Squares” 5 Sentential The numbers, 1, 2, 3, 4,5 may be said in order 6 Pre-operational The objects in row 5 may becounted. The last count called 5, five, cinco, etc. 7 Primary There arebehaviors that act on such classes that we call simple arithmeticoperations: 1 + 3 = 4; 5 + 15 = 20; 5(4) = 20; 5(3) = 15; 5(1) = 5 8Concrete There are behaviors that order the simple arithmetic behaviorswhen multiplying a sum by a number. Such distributive behaviors requirethe simple arithmetic behavior as a prerequisite, not just a precursor:5(1 + 3) = 5(1) + 5(3) = 5 + 15 = 20 9 Abstract All the forms of five inthe five rows in the example are equivalent in value, x = 5. Formingclass based on abstract feature 10 Formal The general left handdistributive relation is x * (y + z) = (x * y) + (x * z) 11 SystematicThe right hand distribution law is not true for numbers but is true forproportions and sets. x + (y * z) = (x * y) + (x * z) x ∪ (y ∩ z) = (x ∩y) ∪ (x ∩ z) 12 Meta-systematic The system of propositional logic andelementary set theory are isomorphic x & (y or z) = (x & y) or (x & z)Logic

 x ∩ (y ∪ z) = (x ∩ y) ∪ (x ∩ z) Sets T(False)

 φ Empty set T(True)

 Ω Universal set 13 Paradigmatic Distributive Systems are part of theMathematical Paradigm. Mathematics integrates algebra, set theory,elementary probability theory, analysis, and based upon such anintegration generates measure theory, and the mathematics used inphysics. 14 Cross- Mathematics and Physics are integrated in theparadigmaticmatic Mathematical Physics of Quantum Mechanics (Einstein,1950; Planck, 1922; Bohr, 1934) including the Standard Theory ofParticles (Gell-Mann, 1964, Weinberg, 1983, Salam, 1972) Special andGeneral Relativity Theory (Einstein, 1950)

The stacked hierarchical neural network of the present invention can beconstructed only after the number of neural networks needed in the stackhas been determined. The stage/order of the actions and tasks performedin a neural network in the hierarchical stack must equal the level ofthe neural network. Thus neural network N_(m) performs tasks and actionsat stage/order m.

The actions and tasks in each successive neural network are acombination, reordering and transforming the tasks of the immediatelypreceding neural network in the hierarchical stack. At each level theneural network performs actions at a higher stage/order of humancognitive development. Thus a neural network at the lowest level mayonly process binary information, such as whether or not an event hasoccurred, where a neural network operating at a higher level in thehierarchical stack may perform actions in multiple dimensions. As inhuman cognitive development, the neural network at the higher levelmakes more complex discriminations and can perform more sophisticatedtasks. For example, a neural network at level 6 can perform tasks suchas counting objects, where a neural network at level 7 can perform tasksthat involve simple mathematical operators. Thus level 7 has movedbeyond counting to a system that creates counts through a new,higher-order set of tasks (See Table 1 above).

Each neural network in the hierarchical stack can have one or morehidden layers of neurons and various interconnections. The number ofhidden layers within a network and the interconnections between layersdepend on the nature of the tasks that the neural network at thatparticular stage/order is performing. The number of tasks and types ofactions that the neural network performs and the stimuli that itprocesses all affect the number of hidden layers, the number of neuronsin a hidden layer, and the interconnections between layers. The stimuliprocessed by the neural network may be external, internal to thenetwork, or previously conditioned stimuli. When the types of stimulithat the neural network processes increase, the number of hidden layersand/or the number of neurons within a layer increase.

The algorithms a particular neural network in a hierarchical stack usesto assign connection weights between neurons also vary, depending on thenature of the problem that the neural network is solving and the inputand internal stimuli that the neural network processes. Specificalgorithms are not associated with particular stages/orders of neuralnetworks in the hierarchical stack. For example, a type of algorithmthat assigns connection weights in a neural network at stage/order mthat names geometric objects may differ from an algorithm that assignsconnection weights in a neural network at stage/order m that namespeople.

Training is not specific to the stage/order of a neural network in ahierarchical stack. Rather it can vary based on the particular tasksbeing performed by a network in the hierarchical stack. Individualnetworks in the hierarchical stack may use unsupervised training,supervised training, or a combination of both to set initial weights. Inthe case of unsupervised training the neural network continues to learn,adapt, and alter its actions throughout the course of its operation. Itcan respond to new patterns not presented during the initial trainingand assignment of weights. This capacity allows a network to learn fromnew external stimuli in a manner similar to how learning takes place inthe real world.

A neural network in the hierarchical stack can train other neuralnetworks that operate at the same order/stage of hierarchicalcomplexity. In this training, the information from the neural network istransferred to an architecturally distinct unit that is analogous instructure to the original neural network. This type of trainingconstitutes a transfer of learning from one neural network to another;the new neural network does not have to be independently trained,thereby saving time and resources.

More formally stated, an intelligent control system of the presentinvention comprises up to O hierarchical stacked neural networks, N_(m),. . . , N_(m)+(O−1), where m equals the lowest stage/order tasksperformed by the hierarchical stacked neural network and O represent thehighest stage/order tasks performed. The actions and tasks performed inN_(m) correspond to the stage/order of cognitive development of themodel of cognitive development employed in solving the problem. Thus N₁performs tasks at the level of hierarchical complexity that correspondsto stage/order 1, and N₅ processes information and responds at the levelof complexity that corresponds to stage/order 5. The number of neuralnetworks in the stack depends on the order of hierarchical complexity ofthe tasks performed by the hierarchical stacked neural network. Thenumber of networks always equals the highest order of hierarchicalcomplexity of any task performed by the hierarchical stacked neuralnetwork. But, unlike the human brain, the number of networks in ahierarchical stack is not limited by the highest order of hierarchicalcomplexity that a human can achieve. The number of networks in ahierarchical stack is unlimited and thus may exceed the capabilities ofthe human brain.

Referring again to FIG. 3, a stacked neural network of the presentinvention can begin at any stage/order of cognitive development and endat any stage/order, but information must be processed by eachstage/order in sequence and ascending order. An intermediate stage/ordercannot be skipped. For example, if a stacked neural network begins at N₃and ends at N₆, information is first processed by N₃ and then output toN₄. N₄ then processes the information and outputs it to N₅. N₅ processesthe information and outputs it to N₆, which produces the final output ofthe stacked neural network.

The stage/order at which a stacked neural network begins and ends andthe number of neural networks in a hierarchical stack depend on thenature of the problem to be solved. Moreover, each neural network in ahierarchical stack may use different architectures, algorithms, andtraining methods. The type of architecture, algorithm, and trainingmethod selected for a particular neural network in the hierarchicalstack depends on the order/stage of the neural network, the type ofintelligent control system that is being implemented, the tasks to beperformed and the stimuli to be processed.

Two examples of intelligent systems based on the stacked neural networkof the present invention follow: the first detects shoplifting; thesecond directs customer calls to the correct department in a largeorganization. These examples follow the model of cognitive developmentdepicted in Table 1. (See R. Case (1987), supra; M. L. Commons et al.(1998), supra; M. L. Commons & P. M. Miller (1998), supra.)

First Detailed Embodiment An Intelligent Control System to DetectShoplifting

A store is monitored by video cameras that record information from everyarea of the store. The input from the cameras is broken into physicalslices (input vectors), which are sampled at one-second intervals forchanges in light intensity. A rule-based system calculates changes inlight intensity. Delta values, D_(m), for n=1, . . . , n, and i=1, . . ., k, are based on the differences in light intensity between timesamples, D_(n−1), i and D_(n), 1. The delta values are the input signalsfor the first neural network in the hierarchical stack.

Referring to FIG. 4, an intelligent control system to detect shoplifting 100 comprises a hierarchical stack of five architecturallydistinct neural networks 110, 112, 114, 116, and 118. Each neuralnetwork 110, 112, 114, 116 and 118 performs processing actionsassociated with a stage/order from the model described in Table 1.

The first neural network in the hierarchical stack, neural network 110is a feed-forward neural network that performs processing actions atstage/order 1, the Sensory and Motor stage/order, of the model depictedin Table 1. At this stage/order, an intelligent system can detectwhether an object is present or not. Using Sensory and Motor tasks,neural network 110 detects a change in light intensity 120 that reachesa threshold consistent with the entry or movement of a physical objectwithin spatial areas monitored by the cameras. Neural network 110 has ahidden layer of neurons that receive inhibitory and excitatory inputfrom the delta values and from a series of “competitive neighbor”neurons in the hidden layer that are within a predetermined range of theneurons receiving delta input. An output response to neural network 112is triggered when threshold levels of excitation in contiguous neuronsconstitute a large enough area of excitation to make it highly probablethat a new physical object has entered a store area or a physical objectin a store area has moved. Vectors containing the excitation area'scentroid, dimensions and coordinates are output to neural network 112.

Neural network 110 is trained using input arrays containing excitationpatterns. A backward-propagation algorithm 130 adjusts weights in neuralnetwork 110 based on neural network 110's successes and failures indetecting physical objects.

Neural network 112 is an adaptive-resonance (ART) neural network (G. A.Carpenter & S. Grossberg, “Neural dynamics of category learning andrecognition: Structural invariants, reinforcement, and evokedpotentials”, in M. L. Commons, R. J. Hermstein, S. M. Kosslyn, & D. B.Mumford, (Eds.), 9 Computational and clinical approaches to patternrecognition and concept formation. Quantitative analyses of behavior(Hillsdale, N.J., Lawrence Erlbaum Associates, 1990)). Neural network112 performs processing actions at stage/order 2, the CircularSensory-Motor stage/order, in the model described in Table 1. At thisstage/order an intelligent system distinguishes objects and tracks them.Using Circular Sensory-Motor stage/order tasks, neural network 112 mapsinput excitation patterns from neural network 110 to clusters. Clusterweights are adjusted each time a new excitation pattern enters neuralnetwork 112 from neural network 110. A second hidden layer of neuronstracks excitation patterns through the store and links their movementcentroids to the appropriate clusters. Repeated placement of inputexcitation patterns on the same cluster, when only the centroidcoordinates of the patterns differ, triggers an output signal to neuralnetwork 114 when a predetermined threshold rate of continuous placementis obtained. The output signal contains the excitation area's centroid,dimensions, store coordinates, and history of centroid positions atsuccessive time intervals. The training of neural network 112 isunsupervised. Cluster weights are adjusted each time a new excitationpattern, representing a new physical object is input into neural network112 from neural network 110.

Neural network 114 is a feed-forward heteroassociative neural networkthat performs processing actions at stage/order 3, the Sensory-Motorstage/order, of the model described in Table 1. At this stage anintelligent system can recognize objects and place them in classes.Using Sensory-Motor tasks, neural network 114 analyzes patterns outputby neural network 112 and determines whether a pattern is an “objectsold by the store” or “a person.” Patterns identified by neural network112 need not be identical to stored patterns to activate an outputsignal. Stored patterns that identify “a person” are based on majorhuman features such as a head, a face, arms, and hands. The patternsassociated with “object sold by the store” use a system of weights thatweight some pattern components more heavily than others.

Neural network 114 is trained by inputting patterns of “a person” and“object sold by the store.” A backward-propagation algorithm 132 adjustsneural network 114's weights based on the network's successes andfailures in identifying “a person” and “object sold by the store.” Whenneural network 114 associates a pattern with an “object sold by thestore” or “a person”, the network outputs to neural network 116 thepattern's classification as “a person” or “object sold by the store,”centroid, dimensions, store coordinates, and history of centroidpositions at successive times.

Neural network 116 is a feed-forward neural network that performsprocessing actions at stage/order 4, the Nominal stage/order, of themodel described in Table 1. At the Nominal stage/order, an intelligentsystem can identify simple relationships between concepts and labelthem. Neural network 116 has one hidden layer. The neurons in this layerreceive excitatory and inhibitory input based on the centroids,dimensions, coordinates, and history of centroid positions at successiveone-second time points of objects and persons that was received fromneural network 114. The neurons also receive input from other neuronswithin the hidden layer. The determination that “a person” has picked upand retained “object(s) sold by the store” is signaled by excitatoryinput from neurons, within the hidden layer, activated by patterns for“object(s) sold by the store” that share contiguous and overlappingstore coordinates with “a person.” When “a person” has become associatedwith “object(s) sold by the store,” an output signal is triggered.Neural network 116 then outputs to neural network 118 an array patternfor the “person” and “object(s) sold by the store” and the history ofstore coordinates of the person/object array at successive times. Thearray pattern uniquely identifies the “person” and “object sold by thestore” that the “person” is carrying.

Neural network 116 network is trained using patterns of person/objectinteraction. A backward-propagation algorithm 134 adjusts weights eachtime neural network 116 successfully matches “a person” and “object soldby the store.”

Neural network 118 is an adaptive-resonance (ART) neural network thatperforms processing actions at stage/order 5, the Sententialstage/order, of the model described in Table 1. At this stage/order,classes and patterns are ordered. Using Sentential stage/order tasks,neural network 118 tracks “a person” carrying “object(s) sold by thestore” and issues a security alert 122 if the person fails to passthrough a check-out counter before moving to the exit. Neural network118 has two hidden inner layers. The person/object array pattern inputfrom neural network 116 is mapped to a specific cluster in the firsthidden layer and the weights associated with the cluster are set forthat person/object(s) array pattern. Each time this array pattern entersfrom neural network 116, it maps to this cluster. The cluster is resetwhen it no longer matches incoming patterns. Each time that the clusteris activated, it sends excitatory signals containing the coordinates andtime points associated with the person/object array to the second hiddenlayer. The areas of excitation in this layer track the person's movementthrough the store. A security alert 122 is generated when the pattern ofneuron excitation indicates that the “person” carrying “object(s) soldby the store” is approaching the exit without passing through acheck-out counter.

Neural network 118 is trained using patterns of movement that a personwould follow through the store if they were to avoid the check-outcounter. A backward-propagation algorithm 136 adjusts weights in each ofthe neural networks 110, 112, 114, 116, and 118 based on thehierarchical stacked neural network's success in detecting a shoplifter.

Second Detailed Embodiment

An Intelligent Control System that Directs Customer Calls to the CorrectDepartment in a Large Organization

This system answers a customer's telephone call and determines where itshould be directed within the organization, based on the caller's oralstatements and responses to questions asked by the system. The system isable to achieve the language proficiency of a three year-old and asksimple questions. The inputs to the system are the customer'sutterances. These are first processed in a front-end recognition systemthat translates the utterances into words, measures the time intervalsbetween words, and removes articles, prepositions, and conjunctions.

Referring to FIG. 5, an intelligent control system 200 that directscustomer calls to the correct department in a large organizationcomprises a stack of four (4) architecturally distinct, ordered neuralnetworks 210, 212, 214, and 216. Each neural network 210, 212, 214, and216 performs processing actions associated with a stage/order from themodel described in Table 1. The first neural network 210 in thehierarchical stack performs processing actions at stage/order 2, theSensory and Motor stage/order, in Table 1. The last neural network 216in the stack performs processing actions at stage/order 5, theSentential stage/order in Table 1. A front-end speech recognition system220 translates customers' utterances into words, measures the timeintervals between each word, and removes articles, prepositions, andconjunctions from the utterances. These are input into neural network210.

Neural network 210 is an adaptive-resonance (ART) neural network withtwo resonating layers and a hidden layer. It performs processing actionsat stage/order 2, the Circular Sensory Motor stage/order, of the modeldescribed in Table 1. At this stage/order, an intelligent system canform open-ended classes. Neural network 210 groups contiguous individualwords, based on time intervals between words that naturally segmentspeech.

Inputs to neural network 210 are words from speech recognition system220. A special signal indicates the end of the customer's speech. Eachword is mapped to an output cluster, based on the time interval betweenthat word and the preceding word. Each time a word is mapped to acluster in the outer resonating layer, the weights are adjusted based onthe inter-word interval. If a word enters with a time interval thatdeviates statistically by two standard deviations or more from the othertime intervals mapped to the cluster, the current group of words isoutput to the hidden layer. When all words in a customer's utterancehave been mapped into groups and the end of speech signal is detected,the output neuron is activated, and all word groups are output to neuralnetwork 212. Each group is assigned a group number that neural network214 uses to pair words. Inter-word interval weights are not reset, sinceit is presumed that time intervals between words will be fairlyconsistent for an individual speaker. The training of neural network 210is unsupervised.

Neural network 212 is a feed-forward, heteroassociative neural networkwith one hidden layer. It performs processing actions at stage/order 3,the Sensory-Motor stage/order, of the model depicted in Table 1. At thisstage/order, an intelligent system can label and name simple objects.Training for neural network 212 is supervised. The network is initiallytaught words that are central to the company environment. These wordsinclude company products and key departments within the company that acustomer might want to reach. For example, for a computer company, thenetwork would be taught words such as software, laptop, computer,keyboard, and other words that relate to the computer products that thecompany sells. It would also be taught words for departments such ascustomer service, billing, and repair.

The inputs to neural network 212 are the word groups output from neuralnetwork 210. Words within each group are individually mapped to outputclusters based on the word patterns that neural network 212 has beentrained to recognize. Each cluster forms a concept domain. Words thatare highly similar or alternate names for the same concept are mapped tothe same cluster. Concept domains are initially fixed during training,but they expand based on the words that are input. The mapping of a wordto a concept domain sends a weight to an output neuron associated withthe domain. The output neuron sums the weights sent to it during theprocessing of words within the word groups. The group number from whicha word comes is also sent to the output neuron. When all of the words inthe groups input from 210 have been mapped, output neurons for eachdomain which have weights of one or greater are activated. Eachactivated output neuron outputs the domain pattern, its weight, theconcept associated with the domain, and the group numbers of the wordsmapped to the domain, all of which are input to neural network 214.

Neural network 214 is a feed-forward neural network with a hidden layerthat performs processing actions at stage/order 4, the Nominalstage/order, of the model described in Table 1. At this stage/order, anintelligent system can form simple relationships between two concepts.In neural network 214, relationships between pairs of domains output inneural network 212 are identified based on domain weights, domainpatterns, and membership in a word group. It is presumed that twodomains are more likely to be related conceptually if they are part ofthe same input group of contiguous words that was identified in neuralnetwork 210. Neural network 214 attempts to find a joint cluster patternfor all combinations of the domain patterns output by 212.

Training of neural network 214 is supervised. All possibleinterconnections between concept domains are taught to the system duringtraining. The interconnections that are taught are based on thecompany's functions, products, and services. The domain weights and wordgroups from neural network 212 adjust the weights in the hidden layer tomake it more or less likely that a joint cluster group will be found fora pair. For example, if two domains are activated by words from the sameinput group identified in neural network 210, it is more likely that theconcept domains are related. In this case, weights on neurons in thehidden layer that are associated with the joint domain cluster areincreased to create additional excitatory input to the output neuron.When an output neuron is activated, a joint domain pattern and a weightthat indicates the level of excitation that triggered the neuron areoutput to neural network 216.

All possible pairings based on the input from neural network 212 areprocessed. If no joint domain patterns are output, a request 234 formore information is made to the customer using pre-prepared scripts. Ifmore than one joint cluster pattern receives sufficient excitation to beactivated, both joint domain patterns are output to a neural network216. A feedback algorithm 230 adjusts input and activation weights inneural network 214 based on whether the customer's call was successfullymatched to a department by neural network 216.

Neural network 216 is a feed-forward neural network with two hiddenlayers that performs processing actions at stage/order 5, the Sententialstage/order, of the model described in Table 1. At this stage/order, anintelligent system can form simple sentences and understandrelationships between more than two concepts. Each joint domain patternis mapped to a cluster of neurons in the first layer. This layerconsists of clusters of neurons that represent relationships between keyproducts and functions performed by the company. The cluster patterns inthis layer are learned through supervised training. Multiple clusters ofneurons can be activated on this level depending on the number of jointdomain patterns input from neural network 214. The clusters of neuronsthat are activated on this level are output to the next layer as atopographical vector which summarizes the areas of activation on theplane formed by this layer. The vector created by the activation pointsthen maps into possible locations that the customer's call might be sentto. This layer is a competitive one, and the ultimate activation of anoutput neuron is based on excitatory and inhibitory input from otherneurons in the layer. The excitatory and inhibitory input from theseneurons is based on the strength of the joint domain patterns input toneural network 216 from neural network 214. If neural network 216 mustchoose between two locations to send a customer's call to, then thejoint domain pattern with the stronger weight prevails. The prevailingoutput neuron triggers a statement to the customer inquiring whetherthey would like to be transferred to the department or location selectedby the network. If the customer agrees, then a feedback algorithm 230adjusts the weights in neural network 216 and neural network 214 toreflect a successful resolution of the customer's inquiry, and a call222 is sent to the department or location. If the customer rejects thesuggestion, then the customer's inquiry has not been successfullyresolved, and the process begins again with a request 232 to thecustomer to provide additional information. Weights in neural network214 and neural network 216 are also adjusted by feedback algorithm 230to reflect that the neural network failed to make the correct linkagesbetween concepts.

Having described preferred embodiments of the invention with referenceto the accompanying drawings, it is to be understood that the inventionis not limited to those precise embodiments, and that various changesand modifications may be effected therein by one skilled in the artwithout departing from the scope or spirit of the invention as definedin the appended claims.

What is claimed is:
 1. A neural network configured for hierarchicalorganization within a stack comprising at least three neural networks atrespectively different ordered levels of cognitive complexity,comprising: an architecturally distinct, trainable, neural network,having a predetermined level of cognitive complexity, having an inputlayer, a hidden layer, and an output layer; the input layer beingconfigured to receive: at least one an input representing a processedoutput from a next hierarchically inferior neural network representing aconstrained output representing a non-arbitrary organizations of animmediately inferior predetermined level of cognitive complexity, and atleast one feedback from at least a next hierarchically superior neuralnetwork, to alter a processing of subsequent inputs with respect to thepredetermined non-arbitrary organizations; and the output layer beingconfigured to communicate a constrained output representingnon-arbitrary organizations according to the predetermined level ofcognitive complexity.
 2. The neural network of claim 1, wherein thestacked neural network comprises at least five architecturally distinctneural networks at respectively ascending levels of cognitivecomplexity.
 3. The neural network of claim 1, wherein at least oneoutput of the output layer represents a relationship between a pluralityof words or concepts.
 4. The neural network of claim 1, wherein at leastone output of the output layer represents an appropriate response to thenatural language communication.
 5. The neural network of claim 4,wherein at least one output of the output layer represents an action tobe taken based on the relationship between the plurality of words orconcepts.
 6. The neural network of claim 1, wherein at least one neuralnetwork is subject to supervised training.
 7. The neural network ofclaim 6, wherein at least one neural network is subject to unsupervisedtraining.
 8. The neural network of claim 1, wherein at least one neuronwithin the neural network receives both excitatory inputs and inhibitoryinputs.
 9. The neural network of claim 1, comprising a plurality ofneurons organized into a plurality of clusters, wherein neurons within arespective cluster are activated together to represent a respectivepredetermined non-arbitrary organization.
 10. The neural network ofclaim 9, wherein the output layer is configured to produce an outputrepresenting a decision based on a relative strength of respective jointdomain patterns of respective clusters, and wherein a strength of therespective joint domain patterns is dependent on the feedback receivedby the at least one neural network.
 11. A method of processinginformation, comprising: providing an architecturally distinct,trainable, neural network, having a predetermined level of cognitivecomplexity, having an input layer, a hidden layer, and an output layer,the input layer being configured to receive: (a) at least one an inputrepresenting a processed output from a hierarchically inferior neuralnetwork representing a constrained output representing a non-arbitraryorganizations of an inferior predetermined level of cognitivecomplexity, and (b) at least one feedback from at least a hierarchicallysuperior neural network, to alter a processing of subsequent inputs withrespect to the predetermined non-arbitrary organizations, the outputlayer being configured to communicate a constrained output representingnon-arbitrary organizations according to a predetermined level ofcognitive complexity, receiving a natural language communication or arepresentation of the natural language communication processed by otherneural networks; and producing as an output from at least one neuralnetwork an identification of at least one object or concept referred toby the natural language communication.
 12. The method of claim 11,further comprising producing as an output a contextually appropriateresponse to the natural language communication.
 13. The method of claim11, further comprising adapting an output of the neural network to alteran input-to-output response based on feedback from a plurality of neuralnetworks having respectively superior hierarchical positions.
 14. Themethod of claim 11, further comprising representing a relationshipbetween a plurality of words or concepts as an output of the neuralnetwork.
 15. The method of claim 14, further comprising representing anaction to be taken based a relationship between the plurality of wordsor concepts as an output of the neural network.
 16. The method of claim11, further comprising training at least one neural network within astacked neural network having respective layers operating at differentlevels of cognitive complexity.
 17. The method of claim 11, wherein atleast one neuron within the neural network receives excitatory inputsand inhibitory inputs.
 18. The method of claim 11, wherein the neuralnetwork has a plurality of neurons organized into a plurality ofclusters, the neurons within a respective cluster being activatedtogether based on an input pattern associated with a respectivenon-arbitrary organization.
 19. The method of claim 18, furthercomprising making a decision by the neural network based on a relativestrength of joint domain patterns of respective clusters, and wherein astrength of the respective joint domain patterns is dependent on thefeedback.
 20. A method, comprising: providing a neural network organizedas an input layer, at least one hidden layer, and output layer and afeedback input; training the neural network to represent a predeterminedlevel of cognitive complexity, and to produce non-arbitraryorganizations according to the predetermined level of cognitivecomplexity, when the neural network receives as inputs non-arbitraryorganizations corresponding to an inferior cognitive complexity level tothe predetermined level; receiving non-arbitrary organizationscorresponding to the inferior cognitive complexity level representingnatural language; receiving at least one feedback from at least oneneural network producing non-arbitrary organizations corresponding to asuperior level to the predetermined level of cognitive complexity whichalter processing of subsequent inputs with respect to the predeterminednon-arbitrary organizations; and communicating an output representingnon-arbitrary organizations according to the predetermined level ofcognitive complexity.